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Finding the Fourth Proportional to 470,361.58, 647,912.09 and 379,463.02

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Solution

The fourth proportional to 470,361.58, 647,912.09 and 379,463.02 is: 522,701.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,361.58 : 647,912.09 = 379,463.02 : x
  2. Step 2: Convert to fraction form
    470,361.58/647,912.09 = 379,463.02/x
  3. Step 3: Cross multiply
    470,361.58x = 647,912.09 × 379,463.02
  4. Step 4: Simplify right side
    470,361.58x = 245,858,674,848.82
  5. Step 5: Solve for x
    x = 245,858,674,848.82/470,361.58
  6. Step 6: Final answer
    x = 522,701.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.